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Multidimensional expanding maps with singularities: a pedestrian approach

Published online by Cambridge University Press:  02 February 2012

CARLANGELO LIVERANI
CARLANGELO LIVERANI*
Affiliation:
Dipartimento di Matematica, II Università di Roma (Tor Vergata), Via della Ricerca Scientifica, 00133 Roma, Italy (email: liverani@mat.uniroma2.it)
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Abstract

I provide a proof of the existence of absolutely continuous invariant measures (and study their statistical properties) for multidimensional piecewise expanding systems with not necessarily bounded derivative or distortion. The proof uses basic properties of multidimensional BV functions (the space of functions of bounded variations).

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 33 , Issue 1 , February 2013 , pp. 168 - 182
Copyright
Copyright © Cambridge University Press 2013

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